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Goos-H\"anchen like Shifts for Graphene Barrier in Constant Magnetic Field

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arxiv 1404.4520 v2 pith:PJTN75F2 submitted 2014-04-17 cond-mat.mes-hall quant-ph

Goos-H\"anchen like Shifts for Graphene Barrier in Constant Magnetic Field

classification cond-mat.mes-hall quant-ph
keywords fieldgoos-hmagneticshiftsbarrierconstantgraphenelike
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider a system of Dirac fermions in graphene submitted to a constant perpendicular magnetic field and scattered by a barrier potential. We show that our system can be used to establish a link with quantum optics through the Goos-H\"{a}nchen shifts. This can be done by evaluating the corresponding transmission probability and shift phase. We obtain Goos-H\"{a}nchen like shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. On the light of this relation, we discuss the obtained results and make comparison with literature.

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